2585712 has 40 divisors (see below), whose sum is σ = 6757504. Its totient is φ = 851904.

The previous prime is 2585707. The next prime is 2585743. The reversal of 2585712 is 2175852.

2585712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁷ + 8⁷ + 5⁸ + 7⁴ + 1 + 2¹⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 2585712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4683 + ... + 5205.

2^2585712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378752).

2585712 is an abundant number, since it is smaller than the sum of its proper divisors (4171792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2585712 is a wasteful number, since it uses less digits than its factorization.

2585712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 2585712 is about 1608.0149253039. The cubic root of 2585712 is about 137.2545394831.

The spelling of 2585712 in words is "two million, five hundred eighty-five thousand, seven hundred twelve".